- #1

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and g = {(-4,2),(-2,1),(0,2),(1,2),(2,2),(4,4)}

Determine a)f + g

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- Thread starter thomasrules
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- #1

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and g = {(-4,2),(-2,1),(0,2),(1,2),(2,2),(4,4)}

Determine a)f + g

- #2

chroot

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What are your thoughts?

- Warren

- Warren

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honestly i'm confused...

f(x)=-4x+4? etc....?

It's not (-4,4)+(-4,2)

f(x)=-4x+4? etc....?

It's not (-4,4)+(-4,2)

- #4

chroot

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What's the value of the function g with the same input, -4?

What's the sum of the values of the two functions, given the same input, -4?

- Warren

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wouldn't it be (-8,6)

- #6

chroot

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You have thus found the first input-output pair of the sum of f+g, (-4, 6).

In english, this means if you plug -4 into f(x) + g(x), you get f(-4) + g(-4) = 4+2 = 6.

- Warren

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- #8

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but whats the equation of f(x)=?

It looks like you set x to zero

why does left side -4 stay the same .....?

It looks like you set x to zero

why does left side -4 stay the same .....?

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- #9

chroot

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You have a good point. This question is a little ambiguous. However, simply taking the union of two sets means that the resulting function f+g is multivalued at -4, for example, which means it's no longer a function.

Adding the outputs of the two functions is also a little tricky, since f is defined at 3, for example, while g is not. The sum of the two functions at 3 is thus also undefined, since anything + undefined = undefined.

The first set is f(x), for x values -4, -2, 1, 3, and 4.

The second set is g(x), for x values -4, -2, 0, 1, 2, and 4.

The only input values common to both functions are -4, -2, 1, and 4. These are thus the input values acceptable to the function f+g. All other possible input values have no defined output.

The output values of f+g are each the sum of the outputs of f and g at the same point. Thus, if you plug in -4 to f+g, you get f(-4) + g(-4) = 4+2 = 6.

- Warren

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oh so ur saying that when adding them you have to have the same x value

- #11

chroot

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When you give the sum of the two functions, f+g, the input -4, the result is the sum of the outputs, 4+2 = 6.

Thus, one member of the resulting set for f+g should be (-4, 6).

- Warren

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thank you my friend

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